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2 years ago

How do I find the indicated value for this problem?

Mathematics

2 answers:

ale4655 [162]2 years ago

6 0

For some reason it didnt let me upload as text so here you go.

brilliants [131]2 years ago

4 0

Answer: just want points tbh

Step-by-step explanation:

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Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

$f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0$

The value of E (X) is 10.

The parameter λ is:

$\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10$

(a)

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679$

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

$P(X$

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

Compute the value of <em>x</em> as follows:

$P(X$

Take natural log on both sides.

$ln(e^{-0.10x})=ln(0.05)\\-0.10x=-2.996\\x=\frac{2.996}{0.10}\\ =29.96\\\approx30$

Thus, the value of x is 30.

7 0

3 years ago

In an experiment, the one variable that is changed by the person doing the experiment is called the Question 2 options: controll

Ad libitum [116K]

Answer: Independent Variable

Step-by-step explanation:

The independent (or manipulated) variable is something that the experimenter purposely changes or varies over the course of the investigation. The dependent (or responding) variable is the one that is observed and likely changes in response to the independent variable.

5 0

3 years ago

Help please, don't answer if you don't know. ill give brainiest

mixer [17]

Answer:

Width = 9 km

Step-by-step explanation:

Area is length*width, so to find the width, you divide the area by the length. 63/7 is 9.

3 0

2 years ago

A box of mixed nuts packs weighs 16 1/2 ounces. Each mixed nuts pack weighs 1 3/8 ounces. How many mixed nuts snack packs are in

vfiekz [6]

12 mixed nuts packs

Explanation:

The box weighs 16 1/2 ounces

1 mixed nut = 1 3/8 ounces

let the number of fruit mixed nut in the box = y

1 mixed nut = 11/8 ounces

y = 33/2 ounces

cross multiply:

$\begin{gathered} 1(\frac{33}{2})\text{ = y(}\frac{\text{11}}{8}) \\ \frac{33}{2}=\frac{11y}{8} \end{gathered}$ $\begin{gathered} 2(11y)\text{ = 33(8)} \\ 22y\text{ = 33(8)} \\ y\text{ = }\frac{33(8)}{22} \end{gathered}$ $\begin{gathered} y\text{ = 264/22} \\ y\text{ = 12 mixed nuts} \end{gathered}$

3 0

1 year ago

Approximately 1.9 million primes of a certain type are reported to the place every year

zhannawk [14.2K]

I suspect that you might mean 'crimes' and 'police'. If that's the case,
then what we have here is a sentence that has not been proofread
for errors, and doesn't ask any question. I'm not going to worry about it.

8 0

2 years ago